x y (1 x y)2 hyperbola 2 x y 2 x 2 y 1 0 (2 2 x) y 1 2 x x y (x y 1)2 x y x

x^2+y^2=H1-x-yL^2
Input:
x 2 + y 2 ‡ H1 - x - yL2
Geometric figure:
Properties
hyperbola
Implicit plot:
y
3
2
1
x
1
-1
2
3
-1
Alternate forms:
-2 x y + 2 x + 2 y - 1 ‡ 0
H2 - 2 xL y ‡ 1 - 2 x
x 2 + y 2 ‡ Hx + y - 1L2
Expanded form:
2
2
2
Step-by-step solution
2
x +y ‡ x +2xy -2x +y -2y +1
Solution:
x -1 ¹ 0,
y‡
2x -1
2 Hx - 1L
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